N = 2 instanton effective action in Ω-background and D3/D(−1)-brane system in R-R background

2010/09/30 by Katsushi Ito, Hiroaki Nakajima, Takuya Saka +1
Mathematics · Physics and Astronomy · #Action (physics) #Amplitude #Black Holes and Theoretical Physics #Brane #Brane cosmology #Cosmology and Gravitation Theories #D-brane #Effective action #Geometry #Instanton #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Orbifold #Physics #Quantum mechanics #Singularity #hep-th

paper · pdf · doi:10.1007/jhep11(2010)093

published as JHEP1011 (2010) 093 · 35 pages, no figures, references added

openalex publication_date 2010/11/01 · arxiv created 2011/03/10 · arxiv updated 2015/05/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the relation between the ADHM construction of instantons in the Omega-background and the fractional D3/D(-1)-branes at the orbifold singularity of C × C²/Z₂ in Ramond-Ramond (R-R) 3-form field strength background. We calculate disk amplitudes of open strings connecting the D3/D(-1)-branes in certain R-R background to obtain the D(-1)-brane effective action deformed by the R-R background. We show that the deformed D(-1)-brane effective action agrees with the instanton effective action in the Omega-background.

Citations

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